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Finding the Fourth Proportional to 315,405.21, 472,941.57 and 137,704.64

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Solution

The fourth proportional to 315,405.21, 472,941.57 and 137,704.64 is: 206,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,405.21 : 472,941.57 = 137,704.64 : x
  2. Step 2: Convert to fraction form
    315,405.21/472,941.57 = 137,704.64/x
  3. Step 3: Cross multiply
    315,405.21x = 472,941.57 × 137,704.64
  4. Step 4: Simplify right side
    315,405.21x = 65,126,246,273.18
  5. Step 5: Solve for x
    x = 65,126,246,273.18/315,405.21
  6. Step 6: Final answer
    x = 206,484.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.